Question

Let f(x)=3x+4, where f(x)=y. Find the inverse of f.

A. f−1(y)=y−43, where f−1(y)=x
B. f−1(y)=y+43, where f−1(y)=x
C. f(x)=−(3x+4), where f(x)=y
D. f−1(y)=3y, where f−1(y)=x

Answer 1

To find the inverse of the function f(x)=3x+4, we need to switch the roles of x and y and solve for y in terms of x.

Step-by-step explanation:

To find the inverse of a function, we need to switch the roles of x and y. In this case, we have f(x) = 3x + 4. To find the inverse, we need to solve for x in terms of y. Let's start by switching the roles of x and y:

x = 3y + 4

Now, let's solve for y:

3y = x - 4

y = (x - 4)/3

Therefore, the inverse of f is given by f-1(x) = (x - 4)/3.